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Finding the Fourth Proportional to 222,329.56, 333,674.16 and 172,291

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Solution

The fourth proportional to 222,329.56, 333,674.16 and 172,291 is: 258,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,329.56 : 333,674.16 = 172,291 : x
  2. Step 2: Convert to fraction form
    222,329.56/333,674.16 = 172,291/x
  3. Step 3: Cross multiply
    222,329.56x = 333,674.16 × 172,291
  4. Step 4: Simplify right side
    222,329.56x = 57,489,054,700.56
  5. Step 5: Solve for x
    x = 57,489,054,700.56/222,329.56
  6. Step 6: Final answer
    x = 258,575.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.